366402400 has 216 divisors, whose sum is σ = 1122115680. Its totient is φ = 115799040.

The previous prime is 366402391. The next prime is 366402401. The reversal of 366402400 is 4204663.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366402401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 509241 + ... + 509959.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^366402400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561057840).

366402400 is an abundant number, since it is smaller than the sum of its proper divisors (755713280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

366402400 is a wasteful number, since it uses less digits than its factorization.

366402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 366402400 is about 19141.6404730629. The cubic root of 366402400 is about 715.5710631660.

The spelling of 366402400 in words is "three hundred sixty-six million, four hundred two thousand, four hundred".